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Simplifying 2(y + 3) + 3(2y + -1) = 0 Reorder the terms: 2(3 + y) + 3(2y + -1) = 0 (3 * 2 + y * 2) + 3(2y + -1) = 0 (6 + 2y) + 3(2y + -1) = 0 Reorder the terms: 6 + 2y + 3(-1 + 2y) = 0 6 + 2y + (-1 * 3 + 2y * 3) = 0 6 + 2y + (-3 + 6y) = 0 Reorder the terms: 6 + -3 + 2y + 6y = 0 Combine like terms: 6 + -3 = 3 3 + 2y + 6y = 0 Combine like terms: 2y + 6y = 8y 3 + 8y = 0 Solving 3 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8y = 0 + -3 8y = 0 + -3 Combine like terms: 0 + -3 = -3 8y = -3 Divide each side by '8'. y = -0.375 Simplifying y = -0.375
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